Abstract
We consider the magneto-transports of quantum matters doped with magnetic impurities near the quantum critical points (QCP). For this, we first find new black hole solution with hyper-scaling violation which is dual to such system. By considering the fluctuation near this exact solution, we calculated all transport coefficients using the holographic method. We applied our result to the surface state of the topological insulator with magnetic doping and found two QCP’s, one bosonic and the other fermionic. It turns out that doped Bi2Se3 and Bi2Te3 correspond to different QCP’s. We also investigated transports of QCP’s as functions of physical parameters and found that there are phase transitions as well as crossovers from weak localization to weak anti-localization.
Highlights
Spin polarization (%) Spin-resolved intensity (a.u.) E B Δ Magnetization (×10–6 emu) reTIi1,.theEvfeorlmutiiosnurMofafnFsc-udediregofgnpuaeescrtide0tse.yB0gsi12maoT.pfea(3slialtne)acrtr.Eee.vaosAeluss,tjiwaonendiontfchdreeeanfseserimttyhi oeIsnfu-dprsoftlaaapnctieene0sg.gap0eisantntshdsemthdaoelrlpeeirbn.ygAtctheaskonsmgu1e0res0f.apcAoeisngtwa,petSShippneiinncsrudueporawfsanecethbeanddo1p6tionugchthees FS and the system become strongTlSySinteracting
In this paper we reported a new black hole solution with hyperscaling violation which is relevant to an impurity doped quantum materials
We calculated all transport coefficients including electrical, thermo-electric and heat conductivities. We investigated their properties in detail by plotting the analytic results as a function of physical parameters
Summary
To get the solution with the dynamical exponent z and the hyperscaling violating factor θ, we consider a 4 dimensional action. Notice that q1 is not a physically tunable charge, A1 is a gauge field which exists only to support the existence of the Hyperscaling violating solution. This is why we need second gauge field to discuss the charge transport. The region of θ > 2 has non-negative temperature, which can be further classified to three types II, III, IV. For II, depending on μ, temperature has minimum like IV (real red curve in (b)) or monotonic like III (dotted red curve in (b)).
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